What is the answer to 2|x-3|+4=8 ?

The answer to 2|x-3|+4=8 is x=1\lor x=5

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2|x-3|+4=8

2 ∣ x - 3 ∣ + 4 = 8

x = 1 or x = 5

Solution steps

2 ∣ x - 3 ∣ + 4 = 8

Move

4

to the right side

2 ∣ x - 3 ∣ = 4

Divide both sides by

2

∣ x - 3 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 3 = - 2 or x - 3 = 2

x - 3 = - 2 or x - 3 = 2

x = 1 or x = 5

1 + x^{3} - 3 x = 0

∣ x ∣ - 18 = - 10

∣ - 8 x ∣ = 64

- 3 = - ∣ k ∣

∣ x + 4 ∣ = x